Search a number
-
+
2142140432 = 24475371757
BaseRepresentation
bin111111110101110…
…0111100000010000
312112021211000020112
41333223213200100
513341341443212
6552321300452
7104040615245
oct17753474020
95467730215
102142140432
119aa2008a3
124b9494728
13281a53a23
141646d95cc
15c80dd422
hex7fae7810

2142140432 has 80 divisors (see below), whose sum is σ = 4385290752. Its totient is φ = 1012677120.

The previous prime is 2142140423. The next prime is 2142140513. The reversal of 2142140432 is 2340412412.

It is a junction number, because it is equal to n+sod(n) for n = 2142140398 and 2142140407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2829398 + ... + 2830154.

Almost surely, 22142140432 is an apocalyptic number.

It is an amenable number.

2142140432 is an abundant number, since it is smaller than the sum of its proper divisors (2243150320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2142140432 is a wasteful number, since it uses less digits than its factorization.

2142140432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2142140432 is about 46283.2629791807. The cubic root of 2142140432 is about 1289.0882390072.

Adding to 2142140432 its reverse (2340412412), we get a palindrome (4482552844).

The spelling of 2142140432 in words is "two billion, one hundred forty-two million, one hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 47 53 71 94 106 142 188 212 284 376 424 568 752 757 848 1136 1514 2491 3028 3337 3763 4982 6056 6674 7526 9964 12112 13348 15052 19928 26696 30104 35579 39856 40121 53392 53747 60208 71158 80242 107494 142316 160484 176861 214988 284632 320968 353722 429976 569264 641936 707444 859952 1414888 1885687 2526109 2829776 2848591 3771374 5052218 5697182 7542748 10104436 11394364 15085496 20208872 22788728 30170992 40417744 45577456 133883777 267767554 535535108 1071070216 2142140432